The dynamics of predator-prey models are becoming increasingly important in mathematics [1]}, [2]}, [3]} and ecology [4]}, [5]}, [6]}, [7]}. The goal of these studies is to describe and analyse the predation interaction between the predator and the prey to predict how they respond to further interventions [8]}, [9]}. Current dynamics studies often use mathematical models to describe the species’ interactions and the time-series behaviours [10]}, [11]}. These mathematical models aim to be representative of real natural phenomena capturing the essentials of the dynamics. New technology has been used to study biological and physical phenomenon revealing that species’ interactions are more complex than previous analysis in this field [12]}, [13]}, [14]}, [7]}. The importance of these phenomenas are becoming increasingly apparent as research findings have shown that ecosystem dynamics depend on the particular nature of interaction processes, such as the functional response or predation rate [16]}, [6]}, [7]}, [19]}.
